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http://ifigenia.org/wiki/issue:nifs/17/1/23-29
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| Title of paper:
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On the basic properties of the negations generated by some parametric intuitionistic fuzzy implications
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| Author(s):
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| Piotr Dworniczak
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| Department of Applied Mathematics, University of Economics, al. Niepodległości 10, 60-967 Poznań, Poland
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| p.dworniczak@ue.poznan.pl
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| Published in:
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"Notes on IFS", Volume 17 (2010) Number 1, pages 23—29
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| Download:
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 PDF (173 Kb, Info)
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| Abstract:
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In this paper a class of intuitionistic parametric fuzzy implications and negations generated by them are presented. Fulfillment of some properties together with the Law of Excluded Middle and De Morgan’s Law are investigated.
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| Keywords:
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Negation, Intuitionistic fuzzy implication, Law of Excluded Middle, De Morgan’s Law.
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| References:
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- Atanassov K.T.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87–96, 1986.
- Atanassov K.T.: On some intuitionistic fuzzy negations. NIFS, 11, 6, 13-20, 2005.
- Atanassov K.T.: On the Intuitionistic Fuzzy Implications and Negations. Studies in Computational Intelligence (SCI) 109, 381–394, 2008.
- Atanassova L.: On some properties of intuitionistic fuzzy negation ¬@. NIFS, 15, 1, 32–35, 2009.
- Baczyński M., Jayaram B.: Fuzzy implications. Springer, Berlin, 2008.
- Czogała E., Łęski J.: On equivalence of approximate reasoning results using different interpretations of fuzzy if-then rules. Fuzzy Sets and Systems 117, 279–296, 2001.
- Dworniczak P.: Some remarks about the L. Atanassova’s paper A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 10, 3, 2010.
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